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Finding the Fourth Proportional to 946.08, 1,308.96 and 771.12

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Solution

The fourth proportional to 946.08, 1,308.96 and 771.12 is: 1,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.08 : 1,308.96 = 771.12 : x
  2. Step 2: Convert to fraction form
    946.08/1,308.96 = 771.12/x
  3. Step 3: Cross multiply
    946.08x = 1,308.96 × 771.12
  4. Step 4: Simplify right side
    946.08x = 1,009,365.24
  5. Step 5: Solve for x
    x = 1,009,365.24/946.08
  6. Step 6: Final answer
    x = 1,066.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.